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Finding the Fourth Proportional to 62.50, 86.16 and 41.74

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Solution

The fourth proportional to 62.50, 86.16 and 41.74 is: 57.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.50 : 86.16 = 41.74 : x
  2. Step 2: Convert to fraction form
    62.50/86.16 = 41.74/x
  3. Step 3: Cross multiply
    62.50x = 86.16 × 41.74
  4. Step 4: Simplify right side
    62.50x = 3,596.32
  5. Step 5: Solve for x
    x = 3,596.32/62.50
  6. Step 6: Final answer
    x = 57.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.